𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the probability of chaos in large dynamical systems: A Monte Carlo study

✍ Scribed by W.Davis Dechert; Julien C. Sprott; David J. Albers

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
222 KB
Volume
23
Category
Article
ISSN
0165-1889

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we report the result of a Monte Carlo study on the probability of chaos in large dynamical systems. We use neural networks as the basis functions for the system dynamics and choose parameter values for the networks randomly. Our results show that as the dimension of the system and the complexity of the network increase, the probability of chaotic dynamics increases to 100%. Since neural networks are dense in the set of dynamical systems, our conclusion is that most large systems are chaotic.

πŸ“œ SIMILAR VOLUMES

Superconductivity in multi-orbital syste
Superconductivity in multi-orbital systems: A dynamical mean Monte Carlo study
✍ Shiro Sakai; Ryotaro Arita; Hideo Aoki πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 178 KB

We have implemented the dynamical mean field ΓΎ quantum Monte Carlo method to study superconductivity in the double-orbital Hubbard model. The result shows that Hund's and pair-hopping terms enhance the spin-tripletorbitalantisymmetric pairing in a wide region around half-filling.

On the Ergodicity of Dynamic Monte Carlo
On the Ergodicity of Dynamic Monte Carlo Simulations of Multichain or Star Systems
✍ Zuzana LimpouchovΓ‘; Karel ProchΓ‘zka πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 223 KB

## Abstract **Summary:** The behavior of complex polymer structures, e.g., star and comb polymers or shells of polymer micelles, is often studied by dynamic Monte Carlo simulations. The algorithm, which is based on a sequence of independent steps, each of them consisting in dissolving and regrowing

Dynamics of star branched polymers in a
Dynamics of star branched polymers in a matrix of linear chains β€” a Monte Carlo study
✍ Andrzej Sikorski; Andrzej Kolinski; Jeffrey Skolnick πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 781 KB

## Abstract A simple cubic lattice model of the melt of 3‐arm star‐branched polymers of various length dissolved in a matrix of long linear chains (__n__~1~ = 800 beads) is studied using a dynamic Monte Carlo method. The total polymer volume fraction is equal to 0,5, while the volume fraction of th